Distance between Plates given Pressure Difference Calculator

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Length of Pipe refers to total length from one end to another in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖Pressure Difference is the difference in pressure intensities at two different points in a liquid.ⓘ Pressure Difference [ΔP]			+10% -10%

✖Width is the measurement or extent of something from side to side.ⓘ Distance between Plates given Pressure Difference [w]

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Distance between Plates given Pressure Difference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference)
w = sqrt(12*V_mean*μ*L_p/ΔP)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Length of Pipe - (Measured in Meter) - The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
Pressure Difference - (Measured in Pascal) - Pressure Difference is the difference in pressure intensities at two different points in a liquid.

STEP 1: Convert Input(s) to Base Unit

Mean Velocity: 32.4 Meter per Second --> 32.4 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Pressure Difference: 13.3 Newton per Square Meter --> 13.3 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = sqrt(12*V_mean*μ*L_p/ΔP) --> sqrt(12*32.4*1.02*0.1/13.3)

Evaluating ... ...

w = 1.72678152529213

STEP 3: Convert Result to Output's Unit

1.72678152529213 Meter --> No Conversion Required

FINAL ANSWER

1.72678152529213 ≈ 1.726782 Meter <-- Width

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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NSS College of Engineering (NSSCE), Palakkad

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< Laminar Flow between Parallel Plates, both Plates at Rest Calculators

Velocity Distribution Profile

LaTeX Go Velocity of Liquid = -(1/(2*Dynamic Viscosity))*Pressure Gradient*(Width*Horizontal Distance-(Horizontal Distance^2))

Distance between Plates using Velocity Distribution Profile

LaTeX Go Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance

Distance between Plates given Maximum Velocity between Plates

LaTeX Go Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))

Maximum Velocity between Plates

LaTeX Go Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity)

Distance between Plates given Pressure Difference Formula

LaTeX Go

Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference)
w = sqrt(12*V_mean*μ*L_p/ΔP)

What is Pressure Difference?

Pressure drop is defined as the difference in total pressure between two points of a fluid carrying network. A pressure drop occurs when frictional forces, caused by the resistance to flow, act on a fluid as it flows through the tube.

How to Calculate Distance between Plates given Pressure Difference?

Distance between Plates given Pressure Difference calculator uses Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference) to calculate the Width, The Distance between Plates given Pressure Difference is defined as the width of section at a point in the flow. Width is denoted by w symbol.

How to calculate Distance between Plates given Pressure Difference using this online calculator? To use this online calculator for Distance between Plates given Pressure Difference, enter Mean Velocity (V_mean), Dynamic Viscosity (μ), Length of Pipe (L_p) & Pressure Difference (ΔP) and hit the calculate button. Here is how the Distance between Plates given Pressure Difference calculation can be explained with given input values -> 1.726782 = sqrt(12*32.4*1.02*0.1/13.3).

FAQ

What is Distance between Plates given Pressure Difference?

The Distance between Plates given Pressure Difference is defined as the width of section at a point in the flow and is represented as w = sqrt(12*V_mean*μ*L_p/ΔP) or Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference). Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Length of Pipe refers to total length from one end to another in which the liquid is flowing & Pressure Difference is the difference in pressure intensities at two different points in a liquid.

How to calculate Distance between Plates given Pressure Difference?

The Distance between Plates given Pressure Difference is defined as the width of section at a point in the flow is calculated using Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference). To calculate Distance between Plates given Pressure Difference, you need Mean Velocity (V_mean), Dynamic Viscosity (μ), Length of Pipe (L_p) & Pressure Difference (ΔP). With our tool, you need to enter the respective value for Mean Velocity, Dynamic Viscosity, Length of Pipe & Pressure Difference and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Width?

In this formula, Width uses Mean Velocity, Dynamic Viscosity, Length of Pipe & Pressure Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -

Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance
Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))
Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3)

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